Find the eigenvalues of A and a basis for each eigenspace. (a) A = 0 −1 1 2 (b) A = 3 0 −2 −7 0 4 4 0 −3 (c) A = 1 0 1 0 1 0 0 0 0

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Find the eigenvalues of A and a basis for each eigenspace.
(a) A =
0 −1
1 2

(b) A =
3 0 −2
−7 0 4
4 0 −3


(c) A =
1 0 1
0 1 0
0 0 0

3 0
-2
1
1
-1
A =
(b) А —
-7 0
4
(c) A =
1
4 0
-3
0 0 0
Transcribed Image Text:3 0 -2 1 1 -1 A = (b) А — -7 0 4 (c) A = 1 4 0 -3 0 0 0
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